Math Mcqs Test Preparation for ECAT & MCAT - Set 3

1)   If 9x+10=34 what is the value of 9x - 10?

a. 20
b. 24
c. 14
d. 33
Answer  Explanation 

ANSWER: 14

Explanation:
No explanation is available for this question!


2)   If s2+t2 = 0 what is the value of s2-t2?

a. 1
b. 2
c. 0
d. 14
Answer  Explanation 

ANSWER: 0

Explanation:
No explanation is available for this question!


3)   If 6x-7=8 what is the value of (6x-7)2?

a. 55
b. 60
c. 81
d. 64
Answer  Explanation 

ANSWER: 64

Explanation:
No explanation is available for this question!


4)   If 3212=4a-3 what is the value of a?

a. 65
b. 75
c. 33
d. 70
Answer  Explanation 

ANSWER: 33

Explanation:
No explanation is available for this question!


5)   If 2y-5x=5 what is the smallest integral value of x for which y>100?

a. 32
b. 20
c. 14
d. 45
Answer  Explanation 

ANSWER: 20

Explanation:
No explanation is available for this question!


6)   If a-8 = 10 - 2a then a = ?

a. -2
b. 0
c. 2
d. 4
e. 6
Answer  Explanation 

ANSWER: 6

Explanation:
No explanation is available for this question!


7)   If p-11 -2p=13-5p then p=?

a. -4
b. -1
c. 1
d. 2
e. 6
Answer  Explanation 

ANSWER: 6

Explanation:
No explanation is available for this question!


8)   If 3x+y=10 and x+y=6 then x = ?

a. 1
b. 2
c. 3
d. 4
e. 5
Answer  Explanation 

ANSWER: 2

Explanation:
No explanation is available for this question!


9)   If 2x+y=10 and x+y=7 then y = ?

a. 3
b. 4
c. 5
d. 6
e. 9
Answer  Explanation 

ANSWER: 4

Explanation:
No explanation is available for this question!


10)   If x2+3x+2 = 0 then which of the following are possible values of x?
I- 1
II- (-1)
III- (-2)


a. I only
b. II only
c. III only
d. I and II only
e. II and III only
Answer  Explanation 

ANSWER: II and III only

Explanation:
No explanation is available for this question!


11)   If 0 < a < b < 1 which of the following is (are) true
I- a-b is negative
II- 1/ab is positive
III- 1/b-1/a is positive


a. I only
b. II only
c. III only
d. I & II only
e. I II & III
Answer  Explanation 

ANSWER: I II & III

Explanation:
No explanation is available for this question!


12)   If x>y>z which of the following cannot be true.

a. y+z < x
b. 2x > y+z
c. 2z > x+y
d. none
Answer  Explanation 

ANSWER: 2z > x+y

Explanation:
No explanation is available for this question!


13)   21d2 - 7d + 8 - 4d (2d-3) =

a. 14d2+8
b. 13d2+5d-8
c. 8d-8
d. 13d2+5d+8
Answer  Explanation 

ANSWER: 13d2+5d+8

Explanation:
No explanation is available for this question!


14)   (x+4)(x-5) = 10 then x is?

a. 6
b. -5
c. both
d. none
Answer  Explanation 

ANSWER: both

Explanation:
No explanation is available for this question!


15)   Which of the following is equivalent to 9x2-6x-3

a. (9x-3)(x-1)
b. (3x+1)2
c. (9x+3)(x-1)
d. (3x-1)2
Answer  Explanation 

ANSWER: (9x+3)(x-1)

Explanation:
No explanation is available for this question!


16)   (x4+y)2+(x4-y)2=

a. 2(x6+y2)
b. 4(x8-y4)
c. 3(x5-y3)
d. 8(x4+y2)
e. 2(x8+y2)
Answer  Explanation 

ANSWER: 2(x8+y2)

Explanation:
No explanation is available for this question!


17)   The binomial x2-30 is exactly divisible by

a. x+5
b. x-3
c. x-5
d. x+1
Answer  Explanation 

ANSWER: x+5

Explanation:
No explanation is available for this question!


18)   If x is an even integer and 4x < 64 and 3x > 24 then x can be equal to

a. 15
b. 8
c. 16
d. 7
e. 14
Answer  Explanation 

ANSWER: 14

Explanation:
No explanation is available for this question!


19)   If 6x = 2y = 3z then 9x + 5y =

a. 10 z
b. 12 z
c. 15 z
d. 18 z
e. 24 z
Answer  Explanation 

ANSWER: 12 z

Explanation:
No explanation is available for this question!


20)   Which of the following is equivalent to : 3x2 + 18x + 27

a. 3 (x2 + 6x +3)
b. 3(x+3)(x+6)
c. 3(x+3)2
d. 3x (x+6+9)
e. 3x2 + x (18+27)
Answer  Explanation 

ANSWER: 3(x+3)2

Explanation:
No explanation is available for this question!


21)   If part of tank filled in one hour = 1/10 then time required to fill the tank.

a. 8
b. 12
c. 10
d. 15
Answer  Explanation 

ANSWER: 10

Explanation:
No explanation is available for this question!


22)   An inlet pipe can fill a tank in 10 hrs and an outlet pipe empties the same full tank in 20 hrs. The time required to fill the tank when both pipes are opened.

a. 10
b. 20
c. 30
d. 25
Answer  Explanation 

ANSWER: 20

Explanation:
No explanation is available for this question!


23)   If As 1 days work = 1/20 then time required to finish the job (in days)

a. 20
b. 10
c. 25
d. 30
Answer  Explanation 

ANSWER: 20

Explanation:
No explanation is available for this question!


24)   Alia can complete an assignment in 5 days and Babar can complete the same assignment is 20 days. The time taken by both Alia and Babar to complete the assignment working together is

a. 3 days
b. 5 days
c. 4 days
d. 2 days
Answer  Explanation 

ANSWER: 4 days

Explanation:
No explanation is available for this question!


25)   Asghar can do a job in 60 days. And both Asghar and Babar can do the same job in 20 days working together. Babar alonge can do the some job in

a. 30 days
b. 60 days
c. 28 days
d. 45 days
Answer  Explanation 

ANSWER: 30 days

Explanation:
No explanation is available for this question!


26)   X can do a job in 16 days Y can do the same job in 20 days X Y and Z can do the job in 7.5 days. Alone Z can do the same job in

a. 100 days
b. 120 days
c. 80 days
d. 48 days
Answer  Explanation 

ANSWER: 48 days

Explanation:
No explanation is available for this question!


27)   Ahmar works twice as fast as Bina. If Bina can complete a work in 30 days the number of days taken by Ahmar and Bina to complete the work working together is

a. 16 days
b. 24 days
c. 20 days
d. 10 days
Answer  Explanation 

ANSWER: 10 days

Explanation:
No explanation is available for this question!


28)   A certain number of men could complete work in 40 days. If there were 20 men more the work could be completed in 20 days. The original number of men is

a. 85
b. 30
c. 40
d. 20
Answer  Explanation 

ANSWER: 20

Explanation:
No explanation is available for this question!


29)   A and B can do a piece of work in 10 days. B and C in 15 days C and A in 30 days. In how many days can they do it all working together?

a. 8 days
b. 6 days
c. 11 days
d. 10 days
Answer  Explanation 

ANSWER: 10 days

Explanation:
No explanation is available for this question!


30)   A is thrice as good workman as B and together they finish a piece of work in 24 days. In how many days can A alone finish the work

a. 20 days
b. 25 days
c. 32 days
d. 29 days
Answer  Explanation 

ANSWER: 32 days

Explanation:
No explanation is available for this question!